4. A pulley of radius R1 and rotational inertia I is mounted on an axle with negligible friction. A light cord passing over the pulley has two blocks of mass m attached to either end, as shown above. Assume the cord does not slip on the pulley. Determine the answers to parts a. and b. in terms of m, R1, I1, and fundamental constants. a. Determine the tension T in the cord. b. One block is now removed from the right and hung on the left. When the system is released from rest, the three blocks on the left accelerate downward with an acceleration 9/3. Determine the following. i) The tension T3 in the section of cord supporting the three blocks on the left. ii) The tension Tị in the section of cord supporting the single block on the right. iii) The rotational inertia I of the pulley.

4. A pulley of radius R1 and rotational inertia I is mounted on an axle with negligible friction. A light cord passing over the pulley has two blocks of mass m attached to either end, as shown above. Assume the cord does not slip on the pulley. Determine the answers to parts a. and b. in terms of m, R1, I1, and fundamental constants. a. Determine the tension T in the cord. b. One block is now removed from the right and hung on the left. When the system is released from rest, the three blocks on the left accelerate downward with an acceleration 9/3. Determine the following. i) The tension T3 in the section of cord supporting the three blocks on the left. ii) The tension Tị in the section of cord supporting the single block on the right. iii) The rotational inertia I of the pulley.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

4. A pulley of radius R and rotational inertia I is mounted on an axle with negligible friction.
A light cord passing over the pulley has two blocks of mass m attached to either end, as shown
above. Assume the cord does not slip on the pulley. Determine the answers to parts a. and b.
in terms of m, R1, I1, and fundamental constants.
a. Determine the tension T in the cord.
b. One block is now removed from the right and hung on the left. When the system is
released from rest, the three blocks on the left accelerate downward with an acceleration
g/3. Determine the following.
i) The tension T3 in the section of cord supporting the three blocks on the left.
ii) The tension T in the section of cord supporting the single block on the right.
iii) The rotational inertia I1 of the pulley.
2R1, 16/
R./
c. The blocks are now removed and the cord is tied into a loop, which is passed around the
original pulley and a second pulley of radius 2R1 and rotational inertia 1611. The axis of
the original pulley is attached to a motor that rotates at angular speed w1, which in turn
causes the larger pulley to rotate. The loop does not slip on the pulleys. Determine the
angular speed w2 of the larger pulley in terms of I1, R1, and wi.

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